With all this flipping, you have me lost. I have no idea what the final result of this project should look like.
I can tell you this, there is a way to have text on the circle path and positioned so the finished product is readable without having to do anything but look at it. You can also produce this on the back of acrylic so one can see through the sheet from the opposite side from the one you cut.
None of this will require you to capture/trace anything. Please try explaining again using different words, pictures. I am just not “seeing” what you want as a finished product. Also, post this file so I can review.